Harry and Nicky share $120 but Nicky takes $58 more than Harry. How much does each person have?
H = Harry's part
N = Nicky's part
Nicky takes $58 more than Harry means:
N = H + 58
Harry and Nicky share $120 means:
H + N = 120
Replace N with H + 58 in this equation.
H + H + 58 = 120
2 H + 58 =120
Subtract 58 to both sided
2 H = 72
H = 72 / 2 = 36
N = H + 58 = 36 + 58 = 94
Harry have $36
Nick have $94
Well, it seems that Nicky is not playing fair with poor Harry's money! If Nicky stole $58 more, we can say that Harry has $x and Nicky has $x + $58. Now, according to the problem, they share a total of $120, so we can set up an equation:
x + (x + $58) = $120
Simplifying that, we have:
2x + $58 = $120
Subtracting $58 from both sides:
2x = $62
Dividing both sides by 2:
x = $31
So, Harry has $31 and Nicky, being a bit of a sneaky character, has $31 + $58 = $89. Poor Harry, I hope he learns to hide his money next time!
Let's represent Harry's share as H and Nicky's share as N.
Given that Nicky takes $58 more than Harry, we can write the equation: N = H + $58.
We also know that the total amount shared is $120, so we can write the equation: H + N = $120.
Substituting N in terms of H from the first equation into the second equation, we get: H + (H + $58) = $120.
Combining like terms, we simplify the equation: 2H + $58 = $120.
Subtracting $58 from both sides of the equation, we have: 2H = $120 - $58.
Simplifying the right-hand side of the equation, we get: 2H = $62.
Dividing both sides of the equation by 2, we have: H = $31.
Now, substituting this value of H back into the first equation, we find: N = $31 + $58.
Evaluating this, we get: N = $89.
Therefore, Harry has $31 and Nicky has $89.
To find out how much each person has, we need to set up an equation based on the given information.
Let's assume that Harry has x dollars.
According to the information given, Nicky takes $58 more than Harry. So, Nicky will have x + $58 dollars.
Now, we know that together, Harry and Nicky share $120. We can set up the equation:
x + (x + $58) = $120
Simplifying the equation, we have:
2x + $58 = $120
To isolate the variable x, we can subtract $58 from both sides:
2x = $120 - $58
2x = $62
Divide both sides of the equation by 2 to solve for x:
x = $62 / 2
x = $31
So, Harry has $31.
To find out how much Nicky has, we'll substitute the value of x back into one of the equations:
Nicky = x + $58
Nicky = $31 + $58
Nicky = $89
Therefore, Nicky has $89 and Harry has $31.